21815332348992 has 112 divisors (see below), whose sum is σ = 71039672065152. Its totient is φ = 5753494241280.

The previous prime is 21815332348903. The next prime is 21815332349017. The reversal of 21815332348992 is 29984323351812.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 624276609 + ... + 624311552.

It is an arithmetic number, because the mean of its divisors is an integer number (634282786296).

Almost surely, 2^{21815332348992} is an apocalyptic number.

It is an amenable number.

21815332348992 is an abundant number, since it is smaller than the sum of its proper divisors (49224339716160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21815332348992 is a wasteful number, since it uses less digits than its factorization.

21815332348992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248588196 (or 1248588186 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 60.

The spelling of 21815332348992 in words is "twenty-one trillion, eight hundred fifteen billion, three hundred thirty-two million, three hundred forty-eight thousand, nine hundred ninety-two".